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Finding the Fourth Proportional to 292,286, 403,354.96 and 164,958.86

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Solution

The fourth proportional to 292,286, 403,354.96 and 164,958.86 is: 227,643.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,286 : 403,354.96 = 164,958.86 : x
  2. Step 2: Convert to fraction form
    292,286/403,354.96 = 164,958.86/x
  3. Step 3: Cross multiply
    292,286x = 403,354.96 × 164,958.86
  4. Step 4: Simplify right side
    292,286x = 66,536,974,376.95
  5. Step 5: Solve for x
    x = 66,536,974,376.95/292,286
  6. Step 6: Final answer
    x = 227,643.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.